Atkin-Lehner |
2+ 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
75850b |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-60680000000 = -1 · 29 · 57 · 37 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 -2 5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,-11852] |
[a1,a2,a3,a4,a6] |
j |
-1/3883520 |
j-invariant |
L |
2.0343091202021 |
L(r)(E,1)/r! |
Ω |
0.50857728222838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15170m1 |
Quadratic twists by: 5 |